802171656144 has 120 divisors (see below), whose sum is σ = 2342943500352. Its totient is φ = 255724508160.

The previous prime is 802171656137. The next prime is 802171656161. The reversal of 802171656144 is 441656171208.

802171656144 is a `hidden beast` number, since 8 + 0 + 2 + 17 + 16 + 5 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 802171656144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26537199 + ... + 26567409.

Almost surely, 2^802171656144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802171656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171471750176).

802171656144 is an abundant number, since it is smaller than the sum of its proper divisors (1540771844208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

802171656144 is a wasteful number, since it uses less digits than its factorization.

802171656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38265 (or 38256 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 802171656144 in words is "eight hundred two billion, one hundred seventy-one million, six hundred fifty-six thousand, one hundred forty-four".